506105793 has 64 divisors (see below), whose sum is σ = 843955200. Its totient is φ = 297872640.

The previous prime is 506105749. The next prime is 506105819. The reversal of 506105793 is 397501605.

It is a happy number.

506105793 is a `hidden beast` number, since 506 + 10 + 57 + 93 = 666.

It is not a de Polignac number, because 506105793 - 2¹⁰ = 506104769 is a prime.

It is a super-2 number, since 2×506105793² = 512286147416317698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506105713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1142230 + ... + 1142672.

It is an arithmetic number, because the mean of its divisors is an integer number (13186800).

Almost surely, 2^506105793 is an apocalyptic number.

It is an amenable number.

506105793 is a deficient number, since it is larger than the sum of its proper divisors (337849407).

506105793 is a wasteful number, since it uses less digits than its factorization.

506105793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 506105793 is about 22496.7951717572. The cubic root of 506105793 is about 796.9182442414.

The spelling of 506105793 in words is "five hundred six million, one hundred five thousand, seven hundred ninety-three".